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Finding the Third Proportional to 55,394.72 and 120,812.34

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Solution

The third proportional to 55,394.72 and 120,812.34 is: 263,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,394.72 : 120,812.34 = 120,812.34 : x
  2. Step 2: Convert to fraction form
    55,394.72/120,812.34 = 120,812.34/x
  3. Step 3: Cross multiply
    55,394.72x = 120,812.34 × 120,812.34
  4. Step 4: Simplify right side
    55,394.72x = 14,595,622,402.37
  5. Step 5: Solve for x
    x = 14,595,622,402.37/55,394.72
  6. Step 6: Final answer
    x = 263,484.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.